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A countable connected Urysohn space containing a dispersion point


Author: V. Kannan
Journal: Proc. Amer. Math. Soc. 35 (1972), 289-290
MSC: Primary 54D05
DOI: https://doi.org/10.1090/S0002-9939-1972-0296908-3
MathSciNet review: 0296908
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Abstract: Answering a question of Martin, Roy gave the first example of a countable connected Urysohn space with a dispersion point. Here we give a much simpler example of such a space.


References [Enhancements On Off] (What's this?)

  • [1] R. H. Bing, A connected countable Hausdorff space, Proc. Amer. Math. Soc. 4 (1953), 474. MR 15, 729. MR 0060806 (15:729f)
  • [2] V. Kannan and M. Rajagopalan, Countable topological spaces, Technical Publications of the Dept. of Mathematics, Madurai University (to appear).
  • [3] J. Martin, A countable Hausdorff space with a dispersion point, Duke Math. J. 33 (1966), 165-167. MR 33 #699. MR 0192474 (33:699)
  • [4] G. G. Miller, Countable connected spaces, Proc. Amer. Math. Soc. 26 (1970), 355-360. MR 0263005 (41:7610)
  • [5] Prabir Roy, A countable connected Urysohn space with a dispersion point, Duke Math. J. 33 (1966), 331-333. MR 33 #4887. MR 0196701 (33:4887)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1972-0296908-3
Keywords: Countable connected space
Article copyright: © Copyright 1972 American Mathematical Society

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